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" The foregoing equations show that the rectangular component of a force along any line equals the product of the force and the cosine of the angle between the force and the line. They show also that the rectangular component of a force along its own line... "
Cyclopedia of Architecture, Carpentry and Building: Strength of materials ... - Page 152
1909
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A Treatise on Infinitesimal Calculus: Statics, and dynamics of material ...

Bartholomew Price - Calculus - 1868 - 736 pages
...Pcos0, Y = psintf; (22) Pa = x2 + Y2. (23) Hence the resolved part of a force along any line is equal to the product of the force and the cosine of the angle between the given line and the action-line of the given force. This theorem is most important, and is very frequently...
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A Manual of Telegraph Construction: The Mechanical Elements of Electric ...

John Christie Douglas - Telegraph - 1875 - 460 pages
...force into two rectangular components — ie, the effective component of a force in any direction is the product of the force, and the cosine of the angle between its direction and the direction of the required component. A force is resolved into three rectangular...
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Cyclopedia of Civil Engineering: Statics; materials; roof trusses; cost analysis

American School (Lansing, Ill.) - Civil engineering - 1909 - 476 pages
...rectangular component of F ^^\ that force. Thus F' and F" j are rectangular components -i ofF. PJ jj The foregoing equations show that the rectangular...makes an angle of 22 degrees with the horizontal. What i& the value of its component along the horizontal ? * Since cos 22° = 0.927, the value of the component...
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Cyclopedia of Architecture: Materials. Statics. Roof trusses. Hardware

1912 - 514 pages
...rectangular component of that force. Thus F and F" are rectangular components UTC" A*^ » £ ofF. PJ tl The foregoing equations show that the rectangular...makes an angle of 22 degrees with the horizontal. AVhat is the value of its component along the horizontal ? * Since cos 22° = 0.927, the value of the...
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Finite Elements for Analysis and Design

J. E. Akin - Finite element method - 1994 - 566 pages
...the work done by a force is the product of the force, the displacement at the point of application of the force, and the cosine of the angle between the force and the displacement. Here the forces are all parallel so the cosine is either plus or minus one. Evaluating...
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Mechanics, Volume 1

Jean Littlewood, John Hebborn, Fred Norton - Science - 2000 - 190 pages
...resolutes of a force: • The component of a force in any direction is the product of the magnitude of the force and the cosine of the angle between the force and the required direction. Notice in particular that the component of a force in a direction perpendicular...
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Finite Element Analysis with Error Estimators: An Introduction to the FEM ...

J. E. Akin - Technology & Engineering - 2005 - 512 pages
...The work done by a force is the product of the force, the displacement at the point of application of the force, and the cosine of the angle between the force and the displacement. Here the forces are all parallel so the cosine is either plus or minus one. Evaluating...
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